97182720 has 352 divisors, whose sum is σ = 373372800. Its totient is φ = 23887872.

The previous prime is 97182707. The next prime is 97182721. The reversal of 97182720 is 2728179.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97182721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2626542 + ... + 2626578.

Almost surely, 2^97182720 is an apocalyptic number.

97182720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186686400).

97182720 is an abundant number, since it is smaller than the sum of its proper divisors (276190080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97182720 is a wasteful number, since it uses less digits than its factorization.

97182720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 97182720 is about 9858.1296400484. The cubic root of 97182720 is about 459.7584112638.

The spelling of 97182720 in words is "ninety-seven million, one hundred eighty-two thousand, seven hundred twenty".